Two-Fluid Model for Anisotropic Superfluids

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Introduction Action Principle Classic Approach Sound Propagation Anisotropy Action Principle ∫ A = drdt { 1 2 (ρ − ρ n)vs 2 + 1 2 ρ nvn 2 − u(ρ, ρ n , s) [ ] ∂ρ + λ ∂t + div((ρ − ρ n)v s + ρ n v n ) [ ]} ∂s + κ ∂t + div(sv n) Differential equation of state du = T ds + ¯µdρ + ∂u ∂ρ n dρ n , ¯µ = µ/m Demand δA δρ , δA , δA δρ n δs , δA , δA ! = 0 δv s δv n Two-Fluid Model for Anisotropic Superfluids Carolin Wille
Introduction Action Principle Classic Approach Sound Propagation Anisotropy Equations δA δρ : 1 2 v2 s − ¯µ − ∂λ ∂t − v s · ∇λ = 0 , (1) δA : δρ n 1 2 v2 n − 1 2 v2 s − ∂u + (v s − v n ) · ∇λ = 0 , ∂ρ n (2) δA δs : − T − ∂κ ∂t − v n · ∇κ = 0 , (3) δA : δv s (ρ − ρ n )(v s − ∇λ) = 0 , (4) δA : δv n ρ n (v n − ∇λ) − s∇κ = 0 . (5) Two-Fluid Model for Anisotropic Superfluids Carolin Wille
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Two-Fluid Model for Anisotropic Superfluids

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